Solve 81/6-35/6

$$8 \frac { 1 } { 6 } - 3 \frac { 5 } { 6 }$$

Evaluate

$$\frac{13}{3}\approx 4.333333333$$

Solution Steps

Multiply 8 and 6 to get 48.

$$\frac{48+1}{6}-\frac{3\times 6+5}{6}$$

Add 48 and 1 to get 49.

$$\frac{49}{6}-\frac{3\times 6+5}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{49}{6}-\frac{18+5}{6}$$

Add 18 and 5 to get 23.

$$\frac{49}{6}-\frac{23}{6}$$

Since \frac{49}{6} and \frac{23}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{49-23}{6}$$

Subtract 23 from 49 to get 26.

$$\frac{26}{6}$$

Reduce the fraction \frac{26}{6} to lowest terms by extracting and canceling out 2.

$$\frac{13}{3}$$

Factor

$$\frac{13}{3} = 4\frac{1}{3} = 4.333333333333333$$